A termék adatai:
ISBN13: | 9780198882091 |
ISBN10: | 0198882092 |
Kötéstípus: | Keménykötés |
Terjedelem: | 272 oldal |
Méret: | 234x156 mm |
Nyelv: | angol |
Illusztrációk: | 62 |
700 |
Témakör:
Methods of Graph Decompositions
Kiadó: OUP Oxford
Megjelenés dátuma: 2024. június 20.
Normál ár:
Kiadói listaár:
GBP 95.00
GBP 95.00
Az Ön ára:
41 297 (39 330 Ft + 5% áfa )
Kedvezmény(ek): 10% (kb. 4 589 Ft)
A kedvezmény csak az 'Értesítés a kedvenc témákról' hírlevelünk címzettjeinek rendeléseire érvényes.
Kattintson ide a feliratkozáshoz
Kattintson ide a feliratkozáshoz
Beszerezhetőség:
Még nem jelent meg, de rendelhető. A megjelenéstől számított néhány héten belül megérkezik.
Rövid leírás:
This book discusses some methods of graph decompositions, which are highly instrumental when dealing with a number of fundamental problems of graph theory. The presented topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory.
Hosszú leírás:
In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions discusses some state-of-the-art decomposition methods of graph theory, which are highly instrumental when dealing with a number of fundamental concepts such as unigraphs, isomorphism, reconstruction conjectures, k-dimensional graphs, degree sequences, line graphs and line hypergraphs.
The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions.
In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.
The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions.
In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.
Tartalomjegyzék:
Introduction
Decomposition of Graphical Sequences and Unigraphs
Matrogenic, Matroidal and Threshold Graphs
Further Applications of Operator Decomposition
Line Graphs and Hypergraphs
Dimensionality of Graphs
Decomposition of Graphical Sequences and Unigraphs
Matrogenic, Matroidal and Threshold Graphs
Further Applications of Operator Decomposition
Line Graphs and Hypergraphs
Dimensionality of Graphs